Rating: 7.51 million

The title ("The Bat Jar Conjecture") is a reference to the Batman cookie jar that Leonard got Sheldon when Sheldon was off the Physics Bowl team.

Leonard, Koothrappali, Howard and Leslie form a team with the name "PMS" (Perpetual Motion Squad), while Sheldon calls his team "AA" (Army Ants).

This episode reveals that there are a few mathematical equations not even Sheldon is able to answer, and when he is put in a situation where he must answer them, he gets a medical reaction with obsessed blinking and short movements such as shaking hands.

Raj suggests that maybe the girl who played TV's Blossom might be a possible teammate as she is supposedly very smart. In fact, later in the series, Mayim Bialik who played Blossom will join the show as a regular cast member.

Penny: So in your world, you're like the cool guys.

(The guys are trying to convince Sheldon into joining the Physics Bowl with them.)
Leonard: "The needs of the many--"
Howard: "Outweigh the needs of the few--"
Sheldon: "Or the one." Damn it, I'll do it.

At the end, Leonard sits on Sheldon's spot in the couch. However, when Penny enters moments later, Sheldon is suddenly sitting on the chair next to the couch without any problems or consideration that it's not his "spot". This little moment goes against every single second of his constant nagging throughout the show that he just can't sit anywhere else than his spot.

Howard: More details about the new Star Trek film.

Star Trek is an American sci-fi television/film franchise going back to 1966. The franchise so far includes six feature films, five television shows (each with more than one season), dozens of computer and video games, hundreds of novels, as well as an attraction in Las Vegas, although the attraction was closed in September 2008. The stories told in Star Trek usually depict the adventures of humans and aliens who serve in the Federation's Starfleet.

Penny: Diet Coke.

Diet Coke (also known as Diet Coca-Cola) is a sugar-free soft drink based on the original Coca-Cola (also known as Coke). It is produced and distributed by The Coca-Cola Company (just like the original) and was first introduced in America on Independence Day in 1982.

Leonard: ...the entire Physics Bowl will kneel before Zod.

Zod is a fictional character in the DC Comics, being one of Superman's prominent enemies and a famous supervillain. Zod's first appearance was in Adventure Comics nr. 283 in April 1961. The supervillain was created by Robert Bernstein and George Papp.

Sheldon: Would you ask Picasso to play Pictionary?

Pablo Picasso (with the looong birth-name of Pablo Diego José Francisco de Paula Juan Nepomuceno María de los Remedios Cipriano de la Santísima Trinidad Ruiz y Picasso) is one of the most known artists from the 20th century. He was born October 25, 1881 and in his lifetime he was a Spanish painter, draughtsman, and sculptor. He died April 8, 1973.

Pictionary is a guessing word game, first published in 1985. In a brief summary of the game, contenstants (in teams) try to identify specific words in each other's drawings.

Sheldon: Would you ask Noah Webster to play Boggle?

Noah Webster was an American lexicographer, author of textbooks, spelling reformer, word enthusiast, and editor born October 16, 1758. He has been frequently called "Father of American Scholarship and Education" and due to his work with education, his name has been made synonymous with dictionaires. Webster died May 28, 1843.

Boogle is a word game in which players roll a lettered dice, and then they have to find words in sequences of adjacent letters

Sheldon: Would you ask Jacques Cousteau to play Go Fish?

Jacques Cousteau was a French naval officer, explorer, ecologist, filmmaker, innovator, scientist, photographer, author and researcher most known for studying the sea and its the forms of life in water. He was born June 11, 1910, and died June 25, 1997.

Go Fish (also known as "Fish") is an easy card game, usually played by 2-5 players. For more information, please read the Wikipedia article.